$\frac{1}{2 + 3} = 2 - 3$

Explanation

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$\frac{1}{2 + 3} \overset{◯}{1} \frac{1}{2 + 3} \frac{2 - 3}{2 - 3} \overset{◯}{2} \frac{2 - 3}{4 - 2 3 + 2 3 - 3} \overset{◯}{3} \frac{2 - 3}{1} \overset{◯}{4} 2 - 3$
①	Multiply the numerator and denominator by the conjugate of the denominator . $2 - 3$ .
②	Multiply in a numerator. $1 \cdot (2 - 3) = 1 \cdot 2 + 1 \cdot - 3 = = 2 - 3$ Simplify denominator. $(2 + 3) \cdot (2 - 3) = 2 \cdot 2 + 2 \cdot - 3 + 3 \cdot 2 + 3 \cdot - 3 = = 4 - 23 + 23 - 3$
③	Simplify numerator and denominator
④	Remove 1 from denominator.

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2+3​1​=2−3​

$\frac{1}{2 + 3} = 2 - 3$